mws_gen_dif_spe_backward

# mws_gen_dif_spe_backward - BACKWARD DIVDIDED DIFFERENCE...

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10/14/11 http://numericalmethods.eng.usf.edu 1 Backward Divided  Difference Major: All Engineering Majors Authors: Autar Kaw, Sri Harsha Garapati http://numericalmethods.eng.usf.edu Transforming Numerical Methods Education for STEM  Undergraduates

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Backward Divided  Difference      http://numericalmethods.eng.usf.edu
http://numericalmethods.eng.usf.edu 3 Definition i x i x . ( 29 ( 29 ( 29 x x x f x f x x f - - = 0 lim Slope at f(x) y x

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http://numericalmethods.eng.usf.edu 4 Backward Divided Difference x x - x x ( 29 ( 29 ( 29 x x x f x f x f - - 2245 ( 29 ( 29 ( 29 x x x f x f x f i i i - - 2245 ) ( x f
http://numericalmethods.eng.usf.edu 5 Example Example :                 The velocity of a rocket is given by   ( 29 30 0 , 8 . 9 2100 10 14 10 14 ln 2000 4 4 - - × × = t t t t ν where   ν given in m/s and   t is given in seconds Use backward difference approximation

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